What is greatest square factor of 675?

To find the greatest square factor of 675, we need to break down 675 into its prime factors: 3 x 3 x 3 x 5 x 5. To identify the square factors, we look for pairs of the same prime factors. In this case, we have two 3's and two 5's. Multiplying these pairs together gives us the greatest square factor of 675, which is 3 x 3 x 5 x 5 = 225.